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Finding the Fourth Proportional to 102,706.44, 141,704.82 and 60,266.76

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Solution

The fourth proportional to 102,706.44, 141,704.82 and 60,266.76 is: 83,150.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,706.44 : 141,704.82 = 60,266.76 : x
  2. Step 2: Convert to fraction form
    102,706.44/141,704.82 = 60,266.76/x
  3. Step 3: Cross multiply
    102,706.44x = 141,704.82 × 60,266.76
  4. Step 4: Simplify right side
    102,706.44x = 8,540,090,377.78
  5. Step 5: Solve for x
    x = 8,540,090,377.78/102,706.44
  6. Step 6: Final answer
    x = 83,150.49

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.